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The process is to add or subtract 0.5, (not 5), from the boundaries of the interval. Strictly speaking, the amount to be added (or subtracted) is half the measurement unit. Many discrete variables are measured in integers but:

UK shoe sizes are measured in half-numbers. So you have sizes 7, 71/2, 8, 81/2 and so on. The continuity correction would be 0.25.

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Q: When a continuous probability distribution is used to approximate a discrete probability distribution a value of 5 is added or subtracted from the area?
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